Atkin-Lehner |
2+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74008b |
Isogeny class |
Conductor |
74008 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-286558976 = -1 · 28 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ -1 -2 -4 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164,1204] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:8:1] [-6:44:1] |
Generators of the group modulo torsion |
j |
-2279632/1331 |
j-invariant |
L |
6.2458256337183 |
L(r)(E,1)/r! |
Ω |
1.6066407171205 |
Real period |
R |
0.64791768805058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74008h1 |
Quadratic twists by: 29 |